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If the blade isn’t wobbling under power, you’re probably seeing a bit of runout in the arbor that doesn’t show up when the saw is running. When you turn the power off, the rotational force on the blade stops and as it begins to slow down the arbor clearances may lat it wobble a little.

If it’s an older saw – or has seen a lot of hard use – it might be time to overhaul the arbor assembly.